Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6506
Title: A Stabilizing subgrid for convection-diffusion problem
Authors: Neslitürk, Ali İhsan
Keywords: Finite element method
The stabilized FEM
The convection–diffusion problem
Galerkin
Issue Date: Feb-2006
Publisher: World Scientific Publishing Co. Pte Ltd
Source: Neslitürk, A. İ. (2006). A Stabilizing subgrid for convection-diffusion problem. Mathematical Models and Methods in Applied Sciences, 16(2), 211-231. doi:10.1142/S0218202506001121
Abstract: A stabilizing subgrid which consists of a single additional node in each triangular element is analyzed by solving the convection-diffusion problem, especially in the case of small diffusion. The choice of the location of the subgrid node is based on minimizing the residual of a local problem inside each element. We study convergence properties of the method under consideration and its connection with previously suggested stabilizing subgrids. We prove that the standard Galerkin finite element solution on augmented grid produces a discrete solution that satisfy the same a priori error estimates that are typically obtained with SUPG and RFB methods. Some numerical experiments that confirm the theoretical findings are also presented.
URI: http://doi.org/10.1142/S0218202506001121
http://hdl.handle.net/11147/6506
ISSN: 0218-2025
0218-2025
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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